We begin by presenting the formulation of the model for particle motion and spin dynamics in Section , showing how the magnetic moment force effect on the particle's translational motion is included. Our Stern-Gerlach force is a natural extension of the Thomas-Bargmann-Michele-Telegdi (TBMT) spin precession dynamics [1]}, [2]}. It shows how the magnetic moment interacts with the external electromagnetic (EM) field inhomogenities and how this interaction affects the particle's trajectory.
